Complex geodesics
Components and open mapping theorems
Concrete subspaces of nuclear Fréchet spaces
Connectedness of Certain Subsets of Locally Convex Spaces.
Constructions des ensembles déterminants pour les fonctions analytiques
Continuous norms on locally convex spaces.
Convergencia local de filtros en espacios localmente convexos.
Convex combinations of commuting affine operators
Convex-compact sets and Banach discs
Every relatively convex-compact convex subset of a locally convex space is contained in a Banach disc. Moreover, an upper bound for the class of sets which are contained in a Banach disc is presented. If the topological dual of a locally convex space is the -closure of the union of countably many -relatively countably compacts sets, then every weakly (relatively) convex-compact set is weakly (relatively) compact.
Coomologia separata sulle varietà analitiche complesse
Copies of lp in tensor products.
The problem of finding complemented copies of lp in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of lp in an n-fold tensor product of lq spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.
Correct Soltan-Vasiloi criterion for convex cones.
Corrigendum: Mackey convergence and quasi-sequentially webbed spaces.
Countably determined locally convex spaces
Critères de faible compacité en termes du théorème du minimax
Criteria for weak compactness of vector-valued integration maps
Criteria are given for determining the weak compactness, or otherwise, of the integration map associated with a vector measure. For instance, the space of integrable functions of a weakly compact integration map is necessarily normable for the mean convergence topology. Results are presented which relate weak compactness of the integration map with the property of being a bicontinuous isomorphism onto its range. Finally, a detailed description is given of the compactness properties for the integration...
Dense range perturbations of hypercyclic operators
We show that if (Tₙ) is a hypercyclic sequence of linear operators on a locally convex space and (Sₙ) is a sequence of linear operators such that the image of each orbit under every linear functional is non-dense then the sequence (Tₙ + Sₙ) has dense range. Furthermore, it is proved that if T,S are commuting linear operators in such a way that T is hypercyclic and all orbits under S satisfy the above non-denseness property then T - S has dense range. Corresponding statements for operators and sequences...
Densité de l’espace des fonctions affines continues sur un convexe compact dans l’espace d’une mesure maximale
Der Graphensatz von A. P. und W. Robertson für S-Räume.
Der Satz von Dunford-Pettis und die Darstellung von Massen mit Werten in lokalkonvexen Räumen.